Artist perspective vanishing worksheet calculator

Calculate guide intersection x and guide intersection y with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use guide intersection x and guide intersection y to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

JSON Two guide lines represented by four points [[x1,y1],[x2,y2],[x3,y3],[x4,y4]] (drawing units)
[[0,0],[10,10],[0,10],[10,0]]
Guide intersection x
5
Guide intersection y
5

Try another scenario

JSON Two guide lines represented by four points [[x1,y1],[x2,y2],[x3,y3],[x4,y4]] (drawing units)
[[0,0],[10,5],[0,10],[10,5]]
Guide intersection x
10
Guide intersection y
5
Calculation method

Calculation method

Guide intersection x

Line determinant formula; parallel/coincident lines return explicit text.

Guide intersection y

Line determinant formula; parallel/coincident lines return explicit text.

Symbols and units
a
JSON Two guide lines represented by four points [[x1,y1],[x2,y2],[x3,y3],[x4,y4]] (drawing units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Intersection of two infinite perspective guide lines in a single Cartesian drawing plane. No camera calibration; coincident/parallel lines explicitly unsupported for finite vanishing point. Supported limits: Finite coordinates; determinant tolerance 1e−12 drawing-unit².
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