CURVED-SURFACE REPRESENTATIONS

CURVED-SURFACE REPRESENTATIONS

We can represent a surface with an implicit equation of the shape f(x, y, z) = 0 or with a parametric representation. Spline surfaces, as an example, are normally described with parametric equations.

For example, a height function over a xy ground plane:
z=f(x,y)

Scan-line and ray-casting algorithms often involve numerical approximation techniques to unravel the surface equation at the intersection with a scan line or with a pixel ray. Various techniques, including parallel calculations and fast hardware implementations, are developed for solving the curved surface equations for commonly used objects.

Comments

CURVED-SURFACE REPRESENTATIONS

We can represent a surface with an implicit equation of the shape f(x, y, z) = 0 or with a parametric representation. Spline surfaces, as an example, are normally described with parametric equations.

For example, a height function over a xy ground plane:
z=f(x,y)

Scan-line and ray-casting algorithms often involve numerical approximation techniques to unravel the surface equation at the intersection with a scan line or with a pixel ray. Various techniques, including parallel calculations and fast hardware implementations, are developed for solving the curved surface equations for commonly used objects.

Comments

CURVED-SURFACE REPRESENTATIONS

We can represent a surface with an implicit equation of the shape f(x, y, z) = 0 or with a parametric representation. Spline surfaces, as an example, are normally described with parametric equations.

For example, a height function over a xy ground plane:
z=f(x,y)

Scan-line and ray-casting algorithms often involve numerical approximation techniques to unravel the surface equation at the intersection with a scan line or with a pixel ray. Various techniques, including parallel calculations and fast hardware implementations, are developed for solving the curved surface equations for commonly used objects.

Comments

CURVED-SURFACE REPRESENTATIONS

We can represent a surface with an implicit equation of the shape f(x, y, z) = 0 or with a parametric representation. Spline surfaces, as an example, are normally described with parametric equations.

For example, a height function over a xy ground plane:
z=f(x,y)

Scan-line and ray-casting algorithms often involve numerical approximation techniques to unravel the surface equation at the intersection with a scan line or with a pixel ray. Various techniques, including parallel calculations and fast hardware implementations, are developed for solving the curved surface equations for commonly used objects.

Comments

CURVED-SURFACE REPRESENTATIONS

We can represent a surface with an implicit equation of the shape f(x, y, z) = 0 or with a parametric representation. Spline surfaces, as an example, are normally described with parametric equations.

For example, a height function over a xy ground plane:
z=f(x,y)

Scan-line and ray-casting algorithms often involve numerical approximation techniques to unravel the surface equation at the intersection with a scan line or with a pixel ray. Various techniques, including parallel calculations and fast hardware implementations, are developed for solving the curved surface equations for commonly used objects.

Comments