Bernstein Polynomials for Radiative Transfer Computations
Explore this paper's citation graph
Summary
The key result of this work is a simple geometric integration algorithm based on adaptive domain subdivision for the Bernstein-Bezier polynomials over a geodesic triangle on the unit sphere.
- Type
- article
- Published
- 1996-01-01
- Cited by
- 1
- References
- 26
- Access
- Open access
- OpenAlex
- https://openalex.org/W18042967
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:15162841
Keywords
Piecewise, Mathematics, Bernstein polynomial, Radiative transfer, Bézier curve
References
- Problems with defining barycentric coordinates for the sphere
- Simulating Global Illumination Using Adaptive Meshing
- Fitting scattered data on sphere-like surfaces using spherical splines
- A Characterization of Ten Hidden-Surface Algorithms
- On the numerical condition of polynomials in Bernstein form
- Wavelength dependent reflectance functions
- A global illumination solution for general reflectance distributions
- Spherical wavelets: efficiently representing functions on the sphere
- Ray tracing volume densities
- Introduction to applied mathematics
- Algorithms for polynomials in Bernstein form
- Applications of irradiance tensors to the simulation of non-Lambertian phenomena
- Bernstein-Bézier polynomials on spheres and sphere-like surfaces
- Bidirectional reflection functions from surface bump maps
- Discontinuity meshing for accurate radiosity
- Triangular Bernstein-Bézier patches
- Predicting reflectance functions from complex surfaces
- Gaussian quadrature formulas for triangles
- Multiresolution analysis for surfaces of arbitrary topological type
- The zonal method for calculating light intensities in the presence of a participating medium
Cited by
Related papers
- Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials
- Circular Bernstein polynomial distributions
- Multinomial Lagrange-Bernstein approximants
- Sequences of transformations and triangular recursion schemes, with applications in numerical analysis
- Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles
- Recursive subdivision and hypergeometric functions