Leptus He's notes on rendering, mathematics, and software engineering.https://leptushe.github.io/https://leptushe.github.io/2024/08/05/fourier-transform/fourier-transform-01-fourier-series/https://leptushe.github.io/2024/08/05/fourier-transform/fourier-transform-01-fourier-series/介绍傅里叶级数的正交函数基、实数形式和复数形式，推导不同频率基函数的内积与系数求解，并说明它们如何用于周期函数展开。Mon, 05 Aug 2024 00:00:00 GMT傅里叶变换数学https://leptushe.github.io/2024/09/21/fourier-transform/fourier-transform-02-fourier-series/https://leptushe.github.io/2024/09/21/fourier-transform/fourier-transform-02-fourier-series/从傅里叶级数出发，推导连续傅里叶变换与离散傅里叶变换的形式，说明频率变量、积分表达式和单位根在离散频谱分析中的作用。Sat, 21 Sep 2024 00:00:00 GMT傅里叶变换数学https://leptushe.github.io/2024/07/17/rendering/mobile-terrain-optimization/https://leptushe.github.io/2024/07/17/rendering/mobile-terrain-optimization/梳理移动端地形渲染中的 Texture Splatting、纹理数组和顶点数据编码方案，分析地形混合纹理带来的采样开销，并讨论针对移动 GPU 的优化方向。Wed, 17 Jul 2024 00:00:00 GMT渲染技术图形渲染https://leptushe.github.io/2023/07/04/spherical-harmonics/spherical-harmonics-01-function-fitting/https://leptushe.github.io/2023/07/04/spherical-harmonics/spherical-harmonics-01-function-fitting/从函数拟合和最小二乘投影出发，说明正交基函数如何逼近正弦函数；结合多项式近似，讨论在 Shader 中减少三角函数计算开销的思路。Tue, 04 Jul 2023 00:00:00 GMT球谐函数图形渲染数学https://leptushe.github.io/2023/07/09/spherical-harmonics/spherical-harmonics-02-basis/https://leptushe.github.io/2023/07/09/spherical-harmonics/spherical-harmonics-02-basis/介绍复数与实数球谐函数的定义、正交性和基函数构成，说明伴随勒让德多项式、带状与扇形球谐函数的关系，以及它们在球面函数表达中的作用。Sun, 09 Jul 2023 00:00:00 GMT球谐函数图形渲染数学https://leptushe.github.io/2019/03/09/temporal-antialiasing/temporal-antialiasing-01/https://leptushe.github.io/2019/03/09/temporal-antialiasing/temporal-antialiasing-01/从几何与着色走样问题出发，介绍时间抗锯齿如何利用跨帧样本提高采样效率，涵盖投影抖动、历史累积、运动向量和几何边缘处理。Sat, 09 Mar 2019 00:00:00 GMTTemporal Antialiasing图形渲染https://leptushe.github.io/2019/03/11/temporal-antialiasing/temporal-antialiasing-02/https://leptushe.github.io/2019/03/11/temporal-antialiasing/temporal-antialiasing-02/分析相机、物体运动与着色变化造成的 History Color 失效，说明 neighborhood clamping、cliping 处理以及 TAA 中闪烁和模糊问题的成因。Mon, 11 Mar 2019 00:00:00 GMTTemporal Antialiasing图形渲染https://leptushe.github.io/2018/12/13/%E7%BC%96%E5%86%99%E5%8F%AF%E6%B5%8B%E8%AF%95%E7%9A%84%E4%BB%A3%E7%A0%81-%E4%BE%9D%E8%B5%96%E6%B3%A8%E5%85%A5/https://leptushe.github.io/2018/12/13/%E7%BC%96%E5%86%99%E5%8F%AF%E6%B5%8B%E8%AF%95%E7%9A%84%E4%BB%A3%E7%A0%81-%E4%BE%9D%E8%B5%96%E6%B3%A8%E5%85%A5/以可测试代码为目标，说明依赖注入如何解除 client 与 service 的直接耦合，并比较构造函数注入和 Setter 注入在 mock 测试与对象状态管理中的适用性。Thu, 13 Dec 2018 00:00:00 GMT依赖注入单元测试