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TWI547708B - Eccentricity display azimuth scale drawing method - Google Patents

Eccentricity display azimuth scale drawing method Download PDF

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Publication number
TWI547708B
TWI547708B TW103130720A TW103130720A TWI547708B TW I547708 B TWI547708 B TW I547708B TW 103130720 A TW103130720 A TW 103130720A TW 103130720 A TW103130720 A TW 103130720A TW I547708 B TWI547708 B TW I547708B
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azimuth
point
eccentric
scale
circle
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TW103130720A
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Chinese (zh)
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TW201525513A (en
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Jun Rong Lin
Jin Her Shieh
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Nat Inst Chung Shan Science & Technology
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Description

偏心顯示方位刻度繪製方法 Eccentric display azimuth scale drawing method

本發明係為一種方位刻度繪製方法,特別是關於一種偏心顯示方位刻度繪製方法。 The invention relates to an azimuth scale drawing method, in particular to an eccentric display azimuth scale drawing method.

導航雷達在使用上,對於航向前方的回跡與電子海圖資訊較其他方位重要,一些船舶導航雷達雖有航向向上顯示功能,使用者可將注意力集中於顯示中心偏上的回跡或海圖資訊,若導航雷達同時支援偏心顯示功能,則可於相同的距離刻度看到前方更大範圍的回跡或海圖資訊。所以,雷達如有中心偏移顯示(偏心顯示)畫面,對使用者觀察目標物與本身位置的最近距離CPA(Closest Point of Approach)、到最近距離點時間TCPA(Time to Closest Point of Approach)資訊、使用電子方位線EBL(Electronic Bearing Line)、可變距離刻度VRM(Variable Range Marker)對目標量測等工作,相對於中心顯示方式,都顯得更加便利。 In the use of navigation radar, the backtracking and electronic chart information in front of the heading are more important than other directions. Some ship navigation radars have a heading upward display function, and the user can focus on the trace or sea of the display center. Figure information, if the navigation radar supports the eccentric display function, you can see a larger range of trace or chart information in front of the same distance scale. Therefore, if the radar has a center offset display (eccentric display) screen, the user observes the closest distance CPA (Closest Point of Approach) to the target and the time to closest point of approach (TCPA). The use of the electronic bearing line EBL (Electronic Bearing Line), the variable range scale VRM (Variable Range Marker) for the target measurement, etc., is more convenient than the central display mode.

目前,部份既有導航雷達平面位置指示器PPI(Plan Position Indicator)顯示不支援中心偏移顯示功能,或有中心偏移顯示,但其方位刻度僅使用中心不偏移之方位刻度,並未對應即時偏移與旋轉,且未能即時改變對應的方位圈刻度(仍為中心顯示之方位刻度),如此一來,可能造成使用者對方位的誤判,或需另以電子方位或距離標線工具EBL/ERL重新對目標量測方能獲得正確方位,導致時效性不佳,無法滿足對目標物即時之觀察,若能即時重繪方位圈刻度,則使用者無論在真北朝上或航向朝上模式,都能輕易判斷目標與本艦的真方位與相關方位。 At present, some of the existing navigation radar plane position indicators PPI (Plan Position Indicator) display does not support the center offset display function, or has a center offset display, but its azimuth scale only uses the azimuth scale of the center without offset, not Corresponding to the instantaneous offset and rotation, and failing to change the corresponding azimuth circle scale (still the azimuth scale of the center display), which may cause the user to misjudge the orientation or need another electronic orientation or distance marking. The tool EBL/ERL can re-measure the target to obtain the correct orientation, resulting in poor timeliness and unable to meet the immediate observation of the target. If the azimuth circle scale can be redrawed immediately, the user will face the true north or the heading. In the upper mode, the true orientation and related orientation of the target and the ship can be easily judged.

相關文獻與專利提及導航雷達平面位置顯示(PPI)回跡數位顯示具有即時切換航向朝上與真北朝上顯示模式、中心偏移回跡數位顯示、結合電子海圖資訊等功能,其中,雖有提及中心偏移顯示功能,但並未教示於中心偏移顯示時,以本發明技術計算偏心方位刻度及即時重繪方位刻度之方法。 Related literature and patents refer to navigation radar plane position display (PPI) trace digital display with instant switching heading up and true north upward display mode, center offset trace digital display, combined with electronic chart information, etc. There is a reference to the center offset display function, but it is not taught in the center offset display, the method of calculating the eccentric azimuth scale and the instant redrawing the azimuth scale by the technique of the present invention.

鑒於上述習知技術之缺點,本發明主要目的在於提出一方位刻度繪製方法,在執行中心偏移顯示、即時切換航向朝上與真北朝上模式與海圖平移旋轉等功能時,快速更新偏心方位刻度。使繪圖平台支援偏心顯示功能,無論在真北朝上或航向朝上模式,皆能於相同的距離刻度看到前方更大範圍的回跡或海圖資訊,在人因工程角度上,有助於使用者於導航雷達顯示之判讀。 In view of the above disadvantages of the prior art, the main object of the present invention is to propose an azimuth scale drawing method for rapidly updating the eccentricity when performing the center offset display, the instantaneous switching heading upwards and the true north upward mode and the chart rotation rotation. Scale. To enable the drawing platform to support the eccentric display function, whether in the true north or heading up mode, you can see a larger range of traces or chart information in front of the same distance scale, which is helpful in terms of human factors engineering. The user is interpreted on the navigation radar display.

本發明另一主要目的在於偏心顯示時,依據目前航向即時重繪方位圈刻度,使用者無論在真北朝上或航向朝上模式,都能輕易判讀目標與本艦的真方位與相關方位,配合使用電子距離方位標線工具取得精細目標方位資訊。 Another main object of the present invention is to redraw the azimuth circle scale according to the current heading direction when the eccentric display is displayed, and the user can easily interpret the true orientation and related orientation of the target and the ship regardless of whether the true north direction or the heading upward mode. Use the electronic distance azimuth line tool to obtain fine target position information.

為了達到上述目的,本發明提出一種偏心顯示方位刻度繪製方法,該方法係包括提供一繪圖平台,該繪圖平台可為顯示屏幕、可繪圖的物體平面,顯示屏幕可為一導航雷達螢幕,可繪圖的物體平面可為紙張、皮革、桌面等;於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈;於該方位圈內,設定一偏心點C之座標,計算該偏心點C與該圓心點O之距離r;於該方位圈上,設定一方位刻度點A,使得由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,利用該半徑R、該距離r與該方位角度ψ,由三角形餘弦定理計算該偏心點C至該方位刻度點A之一長度L;由該偏心點C之座標、該長度L與該方位角度ψ計算該方位刻度點A之座標;以及,移至該方位刻度點A繪製一偏心方位刻度,並於該偏心方位刻度旁標註一偏心方位刻度數值。 In order to achieve the above object, the present invention provides an eccentric display azimuth scale drawing method, which comprises providing a drawing platform, which can be a display screen, a drawable object plane, and the display screen can be a navigation radar screen, and can be drawn. The plane of the object may be paper, leather, table top, etc.; on the drawing platform, an orientation circle is drawn, the orientation circle includes a circle with a center point O and a radius R; in the azimuth circle, an eccentric point C is set a coordinate, calculating a distance r between the eccentric point C and the center point O; on the azimuth circle, setting an azimuth scale point A such that a triangle consisting of the center point O, the eccentric point C, and the azimuth point A The OAC mid-angle OCA is an azimuth angle ψ. Using the radius R, the distance r and the azimuth angle ψ, the eccentricity point C is calculated by the triangular cosine theorem to a length L of the azimuth scale point A; a coordinate, the length L and the azimuth angle ψ calculate a coordinate of the azimuth scale point A; and, move to the azimuth scale point A to draw an eccentric azimuth scale, and mark an eccentricity side of the eccentric azimuth scale Bit scale value.

本發明另提出一種偏心顯示方位刻度繪製方法,該方法係包括提供一繪圖平台,該繪圖平台可為顯示屏幕、可繪圖的物體平面,顯示屏幕可為一導航雷達螢幕,可繪圖的物體平面可為紙張、皮革、桌面等;於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈;於該方位圈內,設定一偏心點C之座標,該偏心點C朝該圓心點O連線延伸與該方位圈相交於一方位刻度點B,計算該偏心點C與該圓心點O之距離r;於該方位圈上,設定一方位刻度點A,使得該方位刻度點B經由該圓心點O與該方位刻度點A連線之夾角為一角度ω,由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,利用該半徑R、該距離r與該方位角 度ψ,由三角形正弦定理計算該角度ω;由該圓心點O之座標、該半徑R與該角度ω計算該方位刻度點A之座標;以及,移至該方位刻度點A繪製一偏心方位刻度,並於該偏心方位刻度旁標註一偏心方位刻度數值。 The invention further provides an eccentric display azimuth scale drawing method, which comprises providing a drawing platform, which can be a display screen and a drawable object plane, the display screen can be a navigation radar screen, and the object plane that can be drawn can be For paper, leather, table top, etc.; on the drawing platform, draw a bearing circle, the azimuth circle includes a circle with a center point O and a radius R; in the azimuth circle, a coordinate of an eccentric point C is set, the eccentricity Point C extends toward the center point O and intersects the azimuth circle at an azimuth point B, and calculates a distance r between the eccentric point C and the center point O. On the azimuth circle, an azimuth point A is set, so that The angle between the center point O and the azimuth point A is an angle ω, and the angle OCA of the triangle OAC formed by the center point O, the eccentric point C and the azimuth point A is An azimuthal angle ψ, using the radius R, the distance r and the azimuth Degree ψ, the angle ω is calculated by a triangular sine theorem; the coordinates of the azimuth scale point A are calculated from the coordinates of the center point O, the radius R and the angle ω; and the eccentric azimuth scale is drawn to the azimuth scale point A And mark an eccentric azimuth scale value next to the eccentric azimuth scale.

依照上述兩種偏心顯示方位刻度繪製方法,本發明進一步設定一角度間隔值,依該角度間隔值依序變化該方位角度ψ,於360°方位圈上一一繪製該方位角度ψ之偏心方位刻度。另為使使用者便於地圖方位的判讀,本發明可提供一地圖資料,繪製於該該方位圈內。 According to the above two eccentric display azimuth scale drawing methods, the present invention further sets an angular interval value, and sequentially changes the azimuth angle 依 according to the angular interval value, and draws the eccentric azimuth scale of the azimuth angle 一 on the 360° azimuth circle. . In addition, in order to facilitate the user to interpret the map orientation, the present invention can provide a map data, which is drawn in the azimuth circle.

以上之概述與接下來的詳細說明,是為了能進一步說明本發明達到預定目的所採取的方式、手段及功效。而有關本發明的其它目的及優點,將在後續的說明中加以闡述。 The above summary and the following detailed description are intended to further illustrate the manner, means and function of the present invention to achieve the intended purpose. Other objects and advantages of the present invention will be set forth in the description which follows.

S110~S160‧‧‧步驟 S110~S160‧‧‧Steps

S210~S260‧‧‧步驟 S210~S260‧‧‧Steps

O‧‧‧圓心點 O‧‧‧ Center of the heart

R‧‧‧半徑 R‧‧‧ Radius

C‧‧‧偏心點 C‧‧‧eccentric point

A‧‧‧方位刻度點 A‧‧‧ azimuth point

B‧‧‧方位刻度點 B‧‧‧ azimuth point

L‧‧‧長度 L‧‧‧ length

r‧‧‧長度 R‧‧‧ length

ψ‧‧‧方位角度 ψ‧‧‧Azimuth angle

ω‧‧‧角度 Ω‧‧‧ angle

第一圖係為本發明之一實施例之偏心顯示方位刻度繪製方法流程圖。 The first figure is a flow chart of a method for drawing an eccentric display azimuth scale according to an embodiment of the present invention.

第二圖係為本發明之一實施例之偏心顯示方位刻度繪製座標圖。 The second figure is a coordinate drawing of the eccentric display azimuth scale according to an embodiment of the present invention.

第三圖係為本發明之一實施例之360°偏心顯示方位刻度繪製完成座標圖。 The third figure is a complete coordinate drawing of the 360° eccentric display azimuth scale according to an embodiment of the present invention.

第四圖係為本發明之一實施例之偏心顯示方位刻度繪製方法流程圖。 The fourth figure is a flow chart of a method for drawing an eccentric display azimuth scale according to an embodiment of the present invention.

第五圖係為本發明之一實施例之地圖顯示及標註偏心方位刻度數值座標圖。 The fifth figure is a map showing and marking the eccentric azimuth scale numerical coordinate map of an embodiment of the present invention.

以下係藉由特定具體實例說明本發明之實施方式,熟悉此技藝之人士可由本說明書所揭示內容輕易地瞭解本發明之其它優點與功效。 The embodiments of the present invention are described below by way of specific examples, and those skilled in the art can readily appreciate the other advantages and advantages of the present invention.

實施例一:請參考第一圖本發明之一實施例之偏心顯示方位刻度繪製方法流程圖及第二圖本發明之一實施例之偏心顯示方位刻度繪製座標圖,本發明一種偏心顯示方位刻度繪製方法,包括以下步驟:步驟(A)S110,提供一繪圖平台;該繪圖平台為一導航雷達螢幕,步驟(B)S120,於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈,步驟(C)S130於該方位圈內,設定一偏心點C之座標,由偏心點C朝該圓心點O方向連線之方向為船首航向,並延伸與該方位圈相交於一方位刻度點B,計算該偏心點C 與該圓心點O之距離r,步驟(D)S140,於該方位圈上,設定一方位刻度點A,使得由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,利用該半徑R、該距離r與該方位角度ψ,由三角形餘弦定理R2=L2+r2-2Lrcos ψ,計算該偏心點C至該方位刻度點A之一長度L,步驟(E)S150,由該偏心點C之座標、該長度L與該方位角度ψ,計算該方位刻度點A之座標,其中,設定導航雷達提供船首航向角度為H,設定該方位刻度點A之X軸座標為XA,Y軸座標為YA等,該偏心點C之X軸座標為XC,Y軸座標為YC,則XA=XC+L*cos(H+ψ-360),YA=YC+L*sin(H+ψ-360),以及步驟(F)S160,移至該方位刻度點A繪製一偏心方位刻度。 Embodiment 1 : Referring to FIG. 1 is a flow chart showing an eccentric display azimuth scale drawing method according to an embodiment of the present invention, and a second graph showing an eccentric display azimuth scale drawing coordinate diagram according to an embodiment of the present invention, and an eccentric display azimuth scale of the present invention. The drawing method comprises the following steps: Step (A) S110, providing a drawing platform; the drawing platform is a navigation radar screen, and step (B) S120, on the drawing platform, drawing a bearing circle, the bearing circle comprises a center circle Point O and a circle of radius R, step (C) S130 is within the azimuth circle, and a coordinate of an eccentric point C is set, and the direction of the line connecting the eccentric point C toward the center point O is the heading of the ship, and extends The azimuth circle intersects at an azimuth scale point B, and calculates a distance r between the eccentric point C and the center point O. In step (D)S140, an azimuth scale point A is set on the azimuth circle, such that the center point O, The angle OC of the triangle OAC formed by the eccentric point C and the azimuth scale point A is an azimuth angle ψ, and the radius R, the distance r and the azimuth angle ψ are obtained by the triangular cosine theorem R 2 =L 2 +r 2 -2Lrcos ψ, calculate the eccentricity C Up to a length L of the azimuth point A, step (E) S150, calculating the coordinates of the azimuth point A from the coordinates of the eccentric point C, the length L and the azimuth angle ,, wherein the navigation radar is provided to provide the bow The heading angle is H, the X-axis coordinate of the azimuth scale point A is set to X A , the Y-axis coordinate is Y A , etc., the X-axis coordinate of the eccentric point C is X C , and the Y-axis coordinate is Y C , then X A = X C +L*cos(H+ψ-360), Y A =Y C +L*sin(H+ψ-360), and step (F)S160, moving to the azimuth scale point A to draw an eccentric azimuth scale .

實施例二:請參考第二圖本發明之一實施例之偏心顯示方位刻度繪製座標圖及第三圖本發明之一實施例之360°偏心顯示方位刻度繪製完成座標圖,本發明為繪製偏心方位刻度於整個方位圈,依實施例一之方法繪製完成方位角度ψ之偏心方位刻度後,接著設定一角度間隔值i,變化該方位角度為(ψ+i),再依本發明步驟(D)S140至步驟(F)S160的步驟,繪製一方位角度為(ψ+i)之偏心方位刻度,之後再以增加角度間隔值為2i的方式,依序變化方位角度,於360°方位圈上一一繪製該方位角度ψ之偏心方位刻度,完成之360°偏心顯示方位刻度圈如第三圖。 Embodiment 2: Please refer to the second figure, an eccentric display azimuth scale drawing coordinate diagram and a third figure according to an embodiment of the present invention. The 360° eccentric display azimuth scale drawing complete coordinate graph of one embodiment of the present invention, the present invention draws an eccentricity After the azimuth circle is drawn over the entire azimuth circle, the eccentric azimuth scale of the azimuth angle ψ is drawn according to the method of the first embodiment, and then an angular interval value i is set, and the azimuth angle is changed to (ψ+i), and then according to the step (D of the present invention) S140 to step (F) S160, draw an eccentric azimuth with an azimuth angle of (ψ+i), and then change the azimuth angle sequentially by increasing the angular interval value by 2i, on the 360° azimuth circle The eccentric azimuth scale of the azimuth angle ψ is drawn one by one, and the 360° eccentricity display azimuth scale circle is completed as shown in the third figure.

實施例三:請參考第四圖本發明之一實施例之偏心顯示方位刻度繪製方法流程圖及第二圖本發明之一實施例之偏心顯示方位刻度繪製座標圖,本發明一種偏心顯示方位刻度繪製方法,包括以下步驟:步驟(A)S210,提供一繪圖平台;該繪圖平台為一導航雷達螢幕,步驟(B)S220,於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈,步驟(C)S230於該方位圈內,設定一偏心點C之座標,該偏心點C朝該圓心點O連線延伸與該方位圈相交於一方位刻度點B,計算該偏心點C與該圓心點O之距離r,步驟(D)S240,於該方位圈上,設定一方位刻度點A,使得該方位刻度點B經由該圓心點O與該方位刻度點A連線之夾角為一角度ω,由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,ω=ψ+∠OCA,利用該半徑R、該距離r與該方位角度ψ,由三角形正弦定理sin∠OCA/R=sin∠OAC/r計算該角度ω=φ+sin-1(r sin(φ)/R),步驟(E)S250,由該圓心點O 之座標、該半徑R與該角度ω計算該方位刻度點A之座標,其中,設定該方位刻度點A之X軸座標為XA,Y軸座標為YA等,該圓心點C之X軸座標為Xo,Y軸座標為Yo,則XA=Xo+R*cos(ω),YA=Yo+R*sin(ω),以及步驟(F)S260,移至該方位刻度點A繪製一偏心方位刻度。 Embodiment 3: Referring to FIG. 4 is a flow chart showing an eccentric display azimuth scale drawing method according to an embodiment of the present invention, and a second graph showing an eccentric display azimuth scale drawing coordinate diagram according to an embodiment of the present invention, and an eccentric display azimuth scale of the present invention. The drawing method comprises the following steps: Step (A) S210, providing a drawing platform; the drawing platform is a navigation radar screen, and step (B) S220, on the drawing platform, drawing a bearing circle, the bearing circle comprises a center Point O and a circle of radius R, step (C) S230, in the azimuth circle, set a coordinate of an eccentric point C, the eccentric point C extending toward the center point O and intersecting the azimuth circle at an azimuth point B, calculating a distance r between the eccentric point C and the center point O, and step (D) S240, setting an azimuth scale point A on the azimuth circle, such that the azimuth scale point B passes the center point O and the azimuth scale The angle of the point A is an angle ω, and the angle OCA of the center point O, the eccentric point C and the azimuth point A is an azimuth angle ψ, ω=ψ+∠OCA, a radius R, the distance r and the azimuth angle ψ, Calculate the angle ω=φ+sin -1 (r sin(φ)/R) from the triangular sine theorem sin∠OCA/R=sin∠OAC/r, step (E)S250, from the coordinates of the center point O, The radius R and the angle ω calculate the coordinates of the azimuth scale point A, wherein the X-axis coordinate of the azimuth scale point A is set to X A , the Y-axis coordinate is Y A , and the like, and the X-axis coordinate of the center point C is X o , the Y-axis coordinate is Y o , then X A =X o +R*cos(ω), Y A =Y o +R*sin(ω), and step (F)S260, moving to the azimuth scale point A An eccentric azimuth scale.

實施例四:請參考第二圖本發明之一實施例之偏心顯示方位刻度繪製座標圖及第三圖本發明之一實施例之360°偏心顯示方位刻度繪製完成座標圖,本發明為繪製偏心方位刻度於整個方位圈,依實施例三之方法繪製完成方位角度ψ之偏心方位刻度後,接著設定一角度間隔值i,變化該方位角度為(ψ+i),再依本發明步驟(D)S240至步驟(F)S260的步驟,繪製一方位角度為(ψ+i)之偏心方位刻度,之後再以增加角度間隔值為2i的方式,依序變化方位角度,於360°方位圈上一一繪製該方位角度ψ之偏心方位刻度,完成之360°偏心顯示方位刻度圈如第三圖。 Embodiment 4: Please refer to the second figure, an eccentric display azimuth scale drawing coordinate diagram and a third figure according to an embodiment of the present invention. The 360° eccentric display azimuth scale drawing complete coordinate graph of one embodiment of the present invention, the present invention draws an eccentricity The azimuth scale is over the entire azimuth circle, and after the eccentric azimuth scale of the azimuth angle ψ is drawn according to the method of the third embodiment, an angle interval value i is set, and the azimuth angle is changed (ψ+i), and then according to the step (D of the present invention) S240 to step (F) S260, draw an eccentric azimuth with an azimuth angle of (ψ+i), and then change the azimuth angle sequentially by increasing the angular interval value by 2i, on the 360° azimuth circle The eccentric azimuth scale of the azimuth angle ψ is drawn one by one, and the 360° eccentricity display azimuth scale circle is completed as shown in the third figure.

實施例五:請參考第五圖本發明之一實施例之地圖顯示及標註偏心方位刻度數值座標圖,本發明進一步包括提供一地圖資料,繪製於該該方位圈內,另依步驟(A)S110至步驟(F)S160或步驟(A)S210至步驟(F)S260的步驟,繪製完成一方位角度為ψ之偏心方位刻度後,進一步增加一步驟,於該偏心方位刻度旁標註一偏心方位刻度數值。 Embodiment 5: Referring to FIG. 5, a map display and an eccentric azimuth scale numerical coordinate map according to an embodiment of the present invention, the present invention further includes providing a map data, which is drawn in the azimuth circle, and further according to step (A) S110 to step (F) S160 or step (A) S210 to step (F) S260, after drawing an eccentric azimuth scale with an azimuth angle of ψ, further adding a step, marking an eccentric azimuth adjacent to the eccentric azimuth scale Scale value.

上述之實施例僅為例示性說明本發明之特點及其功效,而非用於限制本發明之實質技術內容的範圍。任何熟悉此技藝之人士均可在不違背本發明之精神及範疇下,對上述實施例進行修飾與變化。因此,本發明之權利保護範圍,應如後述之申請專利範圍所列。 The above-described embodiments are merely illustrative of the features and functions of the present invention, and are not intended to limit the scope of the technical scope of the present invention. Modifications and variations of the above-described embodiments can be made by those skilled in the art without departing from the spirit and scope of the invention. Therefore, the scope of protection of the present invention should be as set forth in the scope of the claims described below.

S110~S160‧‧‧步驟 S110~S160‧‧‧Steps

S210~S260‧‧‧步驟 S210~S260‧‧‧Steps

Claims (12)

一種偏心顯示方位刻度繪製方法,包括以下步驟:(A)提供一繪圖平台;(B)於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈;(C)於該方位圈內,設定一偏心點C之座標,計算該偏心點C與該圓心點O之距離r;(D)於該方位圈上,設定一方位刻度點A,使得由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,利用該半徑R、該距離r與該方位角度ψ,由三角形餘弦定理計算該偏心點C至該方位刻度點A之一長度L;(E)由該偏心點C之座標、該長度L與該方位角度ψ計算該方位刻度點A之座標;以及(F)移至該方位刻度點A繪製一偏心方位刻度。 An eccentric display azimuth scale drawing method comprises the following steps: (A) providing a drawing platform; (B) drawing an azimuth circle on the drawing platform, the azimuth circle comprising a circle point O and a circle of a radius R; C) in the azimuth circle, set a coordinate of an eccentric point C, calculate a distance r between the eccentric point C and the center point O; (D) set an azimuth scale point A on the azimuth circle, so that the center point is Point O, the eccentric point C and the triangular OAC angle OCA formed by the azimuth scale point A are an azimuth angle ψ, and the eccentric point C is calculated by the triangular cosine theorem using the radius R, the distance r and the azimuth angle ψ a length L to the azimuth point A; (E) a coordinate of the azimuth point C from the coordinate of the eccentric point C, the length L and the azimuth angle ;; and (F) moving to the azimuth point A Draw an eccentric azimuth scale. 如申請專利範圍第1項所述之偏心顯示方位刻度繪製方法,其中,該繪圖平台係選自由一顯示屏幕及可繪圖的物體平面所構成之群組之一或其組合。 The eccentric display azimuth scale drawing method according to claim 1, wherein the drawing platform is selected from one of a group consisting of a display screen and a drawable object plane or a combination thereof. 如申請專利範圍第2項所述之偏心顯示方位刻度繪製方法,其中,該顯示屏幕為導航雷達螢幕。 The eccentric display azimuth scale drawing method according to claim 2, wherein the display screen is a navigation radar screen. 如申請專利範圍第1項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為提供一地圖資料,繪製於該該方位圈內。 The method for drawing an eccentric display azimuth scale according to claim 1, further comprising the step of providing a map data, which is drawn in the azimuth circle. 如申請專利範圍第1項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為於該偏心方位刻度旁標註一偏心方位刻度數值。 The method for drawing an eccentric display azimuth scale according to claim 1, further comprising the step of marking an eccentric azimuth scale value next to the eccentric azimuth scale. 如申請專利範圍第5項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為設定一角度間隔值,依該角度間隔值依序變化該方位角度ψ,於360°方位圈上一一繪製該方位角度ψ之偏心方位刻度。 The eccentric display azimuth scale drawing method according to claim 5, further comprising a step of setting an angular interval value, sequentially changing the azimuth angle 依 according to the angular interval value, and drawing one by one on the 360° azimuth circle The azimuth angle of the azimuth angle ψ. 一種偏心顯示方位刻度繪製方法,包括以下步驟:(A)提供一繪圖平台;(B)於該繪圖平台上,繪製一方位圈,該方位圈包括一圓心點O與一半徑R之圓圈; (C)於該方位圈內,設定一偏心點C之座標,該偏心點C朝該圓心點O連線延伸與該方位圈相交於一方位刻度點B,計算該偏心點C與該圓心點O之距離r;(D)於該方位圈上,設定一方位刻度點A,使得該方位刻度點B經由該圓心點O與該方位刻度點A連線之夾角為一角度ω,由該圓心點O、該偏心點C與該方位刻度點A所組成之三角形OAC中角OCA為一方位角度ψ,利用該半徑R、該距離r與該方位角度ψ,由三角形正弦定理計算該角度ω;(E)由該圓心點O之座標、該半徑R與該角度ω計算該方位刻度點A之座標;以及(F)移至該方位刻度點A繪製一偏心方位刻度。 An eccentric display azimuth scale drawing method comprises the following steps: (A) providing a drawing platform; (B) drawing an azimuth circle on the drawing platform, the azimuth circle comprising a circle point O and a circle of a radius R; (C) setting a coordinate of an eccentric point C in the azimuth circle, the eccentric point C extending toward the center point O and intersecting the azimuth circle at an azimuth scale point B, and calculating the eccentric point C and the center point a distance r of the O; (D) setting an azimuth scale point A on the azimuth circle such that the angle between the center point O and the azimuth point A is an angle ω from the center of the circle Point O, the eccentric point C and the azimuth point O of the triangle OAC formed by the azimuth point A are an azimuth angle ψ, and the angle ω is calculated by the triangle sine theorem using the radius R, the distance r and the azimuth angle ;; (E) calculating a coordinate of the azimuth point A from the coordinates of the center point O, the radius R and the angle ω; and (F) moving to the azimuth point A to draw an eccentric azimuth scale. 如申請專利範圍第7項所述之偏心顯示方位刻度繪製方法,其中,該繪圖平台係選自由一顯示屏幕及可繪圖的物體平面所構成之群組之一或其組合。 The eccentric display azimuth scale drawing method according to claim 7, wherein the drawing platform is selected from one of a group consisting of a display screen and a drawable object plane or a combination thereof. 如申請專利範圍第8項所述之偏心顯示方位刻度繪製方法,其中,該顯示屏幕為導航雷達螢幕。 The eccentric display azimuth scale drawing method according to claim 8, wherein the display screen is a navigation radar screen. 如申請專利範圍第7項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為提供一地圖資料,繪製於該該方位圈內。 The eccentric display azimuth scale drawing method as described in claim 7 further includes a step of providing a map data, which is drawn in the azimuth circle. 如申請專利範圍第7項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為於該偏心方位刻度旁標註一偏心方位刻度數值。 The eccentricity display azimuth scale drawing method as described in claim 7 further includes a step of marking an eccentric azimuth scale value next to the eccentric azimuth scale. 如申請專利範圍第11項所述之偏心顯示方位刻度繪製方法,進一步包括一步驟為設定一角度間隔值,依該角度間隔值依序變化該方位角度ψ,於360°方位圈上一一繪製該方位角度ψ之偏心方位刻度。 The method for drawing an eccentric display azimuth scale according to claim 11 further includes a step of setting an angular interval value, sequentially changing the azimuth angle 依 according to the angular interval value, and drawing one by one on the 360° azimuth circle. The azimuth angle of the azimuth angle ψ.
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