[Python] How to rasterize a inplicit function

Discussão em 'Python' iniciado por Stack, Março 1, 2025.

  1. Stack

    Stack Membro Participativo

    I am rasterizing some shapes, and currently the explicit functions(y=f(x), such as y=x^2+1) of the two-dimensional coordinate system have been prepared.

    But when I tried to rasterize implicit functions(f(x,y)=0), I encountered difficulties.

    def rasterize(func: callable, xDomain: (float, float), yDomain: (float, float)) -> set[(float, float)]:
    """
    :param func: function
    :param xDomain: domain of x, (x left, x right)
    :param yDomain: domain of y, (y left, y right)
    :return: gridCoordinates set[(x1, y1), (x2, y2), ... ]
    """
    pass


    I want to complete this def, but I've been thinking for a long time.

    Among this def, func is a implicit function equation. such as this love function: (x^2 + y^2 - 1)^3 - x^2 * y^3 = 0

    def function(x: float, y: float) -> float:
    return (x ** 2 + y ** 2 - 1) ** 3 - x ** 2 * y ** 3


    Afterwards, I still need a definition that can be implemented in a three-dimensional coordinate system, but first solve the current problem.

    Continue reading...

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