WebGL Surface Generator – About

With this tool you can generate surfaces defined parametrically or explicitly and visualize them in your browser using WebGL. You can export generated surfaces as the triangles listing or OBJ model.

Application features:

• Easy-to-learn surface definition language
• Numerical data output (coordinates listing)
• Graphical data output (WebGL)
• Data export
• Data import

Browser requirements:

• JavaScript support (any modern browser)
• WebGL support (Firefox 4.x, Chrome)

You can check your browser WebGL support here.

Surface definition language

Information about surfaces here.

Features:

• One line = one command
• Case-sensitive
• Comment with # symbol

Example:

#Comment1

R=10 #Comment2

Supported language commands:

• Parametric

Parametric surface definition.



Parametric Xuv, Yuv, Zuv in (U0,U1)& (V0,V1) decomposition Du,Dv part P

Parametric Xuv, Yuv, Zuv in (U0,U1)& (V0,V1) ratio R1,R2 decomposition Du,Dv part P

Xuv, Yuv, Zuv - JavaScript expressions - formulas for X, Y and Z coordinates with arguments u and v.

U0, U1 - JavaScript expressions - formulas for start and end u values.

V0, V1 - JavaScript expressions - formulas for start and end v values.

R1, R2 - numbers - ratio between previous step length and next step length for u and v.

Du - JavaScript expression - formula for step count between U0 and U1 values.

Dv - JavaScript expression - formula for step count between V0 and V1 values.

P - category/part number.

Example:

Parametric sin(v)*cos(u), sin(v)*sin(u), cos(v) in (0,2*PI) & (0,PI) decomposition 20,20 part 0



Parametrically defined sphere

• Explicit

Explicit surface definition.



Explicit (x|y|z)=Vuv in (U0,U1) & (V0,V1) decomposition Du,Dv part P

Explicit (x|y|z)=Vuv in (U0,U1) & (V0,V1) ratio R1,R2 decomposition Du,Dv part P

(x|y|z) - x or y or z.

Vuv - JavaScript expression - formula for selected coordinate with arguments u and v (two other coordinates aliases).

U0, U1 - JavaScript expressions - formulas for start and end u values.

V0, V1 - JavaScript expressions - formulas for start and end v values.

R1, R2 - numbers - ratio between previous step length and next step length for u and v.

Du - JavaScript expression - formula for step count between U0 and U1 values.

Dv - JavaScript expression - formula for step count between V0 and V1 values.

P - category/part number.

Example:

Explicit z=1 in (-1,1) & (-1,1) ratio 1,1 decomposition 5,5 part 1

Explicit z=-1 in (-1,1) & (1,-1) ratio 1,1 decomposition 5,5 part 1

Explicit y=-1 in (-1,1) & (-1,1) ratio 1,1 decomposition 5,5 part 1

Explicit y=1 in (-1,1) & (1,-1) ratio 1,1 decomposition 5,5 part 1

Explicit x=1 in (-1,1) & (-1,1) ratio 1,1 decomposition 5,5 part 1

Explicit x=-1 in (-1,1) & (1,-1) ratio 1,1 decomposition 5,5 part 1



Explicitly defined cube

• Triangle

Add a simple triangle.

Triangle x1 y1 z1 x2 y2 z2 x3 y3 z3 P

x1, y1, z1 - numbers - X, Y and Z coordinates for first triangle point

x2, y2, z2 - numbers - X, Y and Z coordinates for second triangle point

x3, y3, z3 - numbers - X, Y and Z coordinates for third triangle point

P - category/part number.

• ID=VAL

Define new identifier ID that should be interpreted as VAL in all next expressions.

Example:

K=10

Parametric u, v, 1 in (0,2*PI) & (0,PI) decomposition K,K part 0

Equal:

Parametric u, v, 1 in (0,2*PI) & (0,PI) decomposition 10,10 part 0

• Translate

Translate points. Applied to all next drawing commands.

Translate X Y Z

Translate off (alias for Translate 0 0 0)

X, Y, Z - numbers - translate coordinates.

Example:

Translate -2.4 2.3 1.1

• Rotate

Rotate points around specified point. Applied to all next drawing commands.

Rotate X Y Z Xang Yang Zang

Rotate off (alias for Rotate 0 0 0 0 0 0)

X, Y, Z - numbers - coordinates for rotation center.

Xang, Yang, Zang - numbers - angles in degrees of rotation around rotation center.

Example:

Rotate 1 1 1 90 30 60

• Scale

Scale points. Applied to all next drawing commands.

Scale X Y Z

Scale off (alias for Scale 1 1 1)

X, Y, Z - numbers - coordinates multipliers.

Example:

Scale 1.2 1.2 1.2

Supported functions:

• abs(x) - Returns the absolute value of x
• acos(x) - Returns the arccosine of x, in radians
• asin(x) - Returns the arcsine of x, in radians
• atan(x) - Returns the arctangent of x as a numeric value between -PI/2 and PI/2 radians
• atan2(y,x) - Returns the arctangent of the quotient of its arguments
• ceil(x) - Returns x, rounded upwards to the nearest integer
• cos(x) - Returns the cosine of x (x is in radians)
• exp(x) - Returns the value of Ex
• floor(x) - Returns x, rounded downwards to the nearest integer
• log(x) - Returns the natural logarithm (base E) of x
• max(x,y) - Returns the number with the highest value
• min(x,y) - Returns the number with the lowest value
• pow(x,y) - Returns the value of x to the power of y
• random() - Returns a random number between 0 and 1
• round(x) - Rounds x to the nearest integer
• sin(x) - Returns the sine of x (x is in radians)
• sqrt(x) - Returns the square root of x
• tan(x) - Returns the tangent of an angle

Supported constants:

• E - Returns Euler's number (approx. 2.718)
• LN2 - Returns the natural logarithm of 2 (approx. 0.693)
• LN10 - Returns the natural logarithm of 10 (approx. 2.302)
• LOG2E - Returns the base-2 logarithm of E (approx. 1.442)
• LOG10E - Returns the base-10 logarithm of E (approx. 0.434)
• PI - Returns PI (approx. 3.14159)
• SQRT1_2 - Returns the square root of 1/2 (approx. 0.707)
• SQRT2 - Returns the square root of 2 (approx. 1.414)