Mattina's Blog

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  • P17 Preview (Materials & Appearances)
    • Diffuse / Lambertian Material
    • Glossy material (BRDF)
    • Ideal reflective / refractive material (BSDF*)
      • Fresnel Reflection / Term 菲涅尔项
    • Microfacet Material 微表面模型
      • Microfacet BRDF
    • Isotropic / Anisotropic Materials (BRDFs) 各向同性/各向异性
    • BRDF性质
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  • P13 Preview
    • Recursive (Whitted-Style) Ray Tracing
      • Ray-Surface Intersection 光线和面求交:球体、隐式表面、三角面,及缺点
    • Accelerating Ray-Surface Intersection 加速
      • Ray Intersection with Axis-Aligned Box
  • P14&15 Preview

    • Using AABBs to accelerate ray tracing

      • Uniform grids
      • Spatial partitions 空间划分
        • KD-Trees
        • BVHs截屏2023-04-26 23.54.20
    • Basic radiometry

      • Radiant Energy $Q$ and Flux(Power) $\Phi$
      • Intensity $I$:power per projected unit area
      • Irradiance $E$:power per unit area
      • Radiance $L$:power per unit solid angle & per projected unit area
        • 截屏2023-05-03 15.00.42
    • BRDF:是针对一个方向,出射Radiance($dL_r(\omega_r)$)/入射Irradiance($dE(\omega _i)$)比例

      • 反射方程

        • 截屏2023-05-03 17.58.58
      • 渲染方程

        • 截屏2023-05-03 18.29.34
    • 概率论回顾

  • P16 Overview

    • Monte Carlo Integration

      • 截屏2023-05-04 20.45.43
    • Path Tracing

      • 截屏2023-05-04 22.05.41截屏2023-05-04 23.35.12
      • PT 优化
        • 截屏2023-05-05 21.41.12截屏2023-05-05 22.30.26
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  • P10&11 Preview
    • Introduce to geometry
      • Examples of geometry
      • Various representations of geometry
        • Implicit
        • Explicit
  • P11 Preview

    • Curves

      • Bézier Curves
      • De Casteljau’s algorithm
      • B-splines, etc.
    • Surfaces

      • Bezier surfaces
      • Triangles & quads
        • Subdivision, simplification, regularization
  • P12 Preview

    • Mesh Subdivision (upsampling)
    • Mesh Simplification (downsampling)
    • Mesh Regularization (same #triangles)
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  • P7 Preview
    • Blinn - Phong Diffuse Reflection Model
      • Diffuse:截屏2023-04-06 21.05.53
  • P8 Preview
    • Blinn - Phong Diffuse Reflection Model:截屏2023-04-07 10.01.33
      • Specular:截屏2023-04-07 09.43.05截屏2023-04-07 09.55.47
      • Ambient:截屏2023-04-07 09.59.36
    • Shading Frequencies
    • Graphics Pipeline
  • P9 Preview
    • Barycentric coordinate 重心插值:截屏2023-04-13 09.42.53截屏2023-04-13 09.48.47
    • Texture Magnification
      • Bilinear Interpolation 双线性插值:截屏2023-04-13 10.39.27
    • Texture antialiasing (MIPMAP)
    • Application of texture
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  • P5 Preview
    • Finishing up viewing
      • Viewport transformation
    • Rasterization
      • Different raster displays
      • Rasterizing a triangle
  • P6 Preview

    • Antialiasing

      • 采样简单理论
      • 实际图形学中的反走样
    • Visible / Occlusion(讲解部分在P7开始处)

      • Z - Buffer
  • 补充!

    • shadows
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  • P3 Preview
    • Why study transformation
    • 2D变换:rotation, scale, shear
    • 其次坐标:增加一维表示平移变换
    • 复合变换
  • P4 Preview
    • 3D变换
    • Viewing(观测) Transformation
      • View(视图)/Camera Transformation
      • Projection(投影) Transformation
        • Orthographic(正交)
        • Perspective(透视)
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