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Spherical Voronoi: Directional Appearance as a Differentiable Partition of the Sphere

TL;DR: New spherical function representation for 3DGS appearance modeling that replaces Spherical Harmonics.

Abstract:
Radiance field methods, such as 3D Gaussian Splatting, have emerged as a powerful paradigm for novel view synthesis. However, their appearance modeling often relies on Spherical Harmonics (SH), which impose fundamental limitations. SH struggles with high-frequency signals, exhibits Gibbs ringing artifacts, and fails to capture specular reflections - a key component of realistic rendering.

Although alternatives like spherical Gaussians offer improvements, they add significant optimization complexity. We propose Spherical Voronoi (SV) as a unified framework for appearance representation in 3D Gaussian Splatting. SV partitions the directional domain into learnable regions with smooth boundaries, providing an intuitive and stable parameterization for view-dependent effects.

For diffuse appearance, SV achieves competitive results while keeping optimization simpler than existing alternatives. For reflections, where SH fails, we leverage SV as learnable reflection probes, taking reflected directions as input following principles from classical graphics. This formulation attains state-of-the-art results on synthetic and real-world datasets, demonstrating that SV offers a principled, efficient, and general solution for appearance modeling in explicit 3D representations.

Spherical Voronoi: Directional Appearance as a Differentiable Partition of the Sphere TL;DR: New spherical function representation for 3DGS appearance modeling that replaces Spherical Harmonics. Abstract: Radiance field methods, such as 3D Gaussian Splatting, have emerged as a powerful paradigm for novel view synthesis. However, their appearance modeling often relies on Spherical Harmonics (SH), which impose fundamental limitations. SH struggles with high-frequency signals, exhibits Gibbs ringing artifacts, and fails to capture specular reflections - a key component of realistic rendering. Although alternatives like spherical Gaussians offer improvements, they add significant optimization complexity. We propose Spherical Voronoi (SV) as a unified framework for appearance representation in 3D Gaussian Splatting. SV partitions the directional domain into learnable regions with smooth boundaries, providing an intuitive and stable parameterization for view-dependent effects. For diffuse appearance, SV achieves competitive results while keeping optimization simpler than existing alternatives. For reflections, where SH fails, we leverage SV as learnable reflection probes, taking reflected directions as input following principles from classical graphics. This formulation attains state-of-the-art results on synthetic and real-world datasets, demonstrating that SV offers a principled, efficient, and general solution for appearance modeling in explicit 3D representations.

Paper: https://t.co/cqjo6jk6jG

avatar for MrNeRF
MrNeRF
Wed Dec 17 12:13:48
RT @hzlzh: 📷 新作品 2Camera 发布啦!双重拍摄相机,捕捉双重视角,记录双倍精彩。
💡这是一款支持前后双摄像头同时开拍相机,最低支持 iPhone 11 + iOS 17。(讲真,这个项目早在发布会前就开始做了,没想到还能帮大家提前用上 iPhone 17 专…

RT @hzlzh: 📷 新作品 2Camera 发布啦!双重拍摄相机,捕捉双重视角,记录双倍精彩。 💡这是一款支持前后双摄像头同时开拍相机,最低支持 iPhone 11 + iOS 17。(讲真,这个项目早在发布会前就开始做了,没想到还能帮大家提前用上 iPhone 17 专…

6X Studio 创始人 | @fyfyFM 枫言枫语播客主播 | 前腾讯微信设计师 📱 App:@LockLauncherApp、@MenubarX、2Camera、@AppChatX、StickerX、钢琴小组件、桌面计算器等 🎙️ 中文播客榜 https://t.co/w0pn19L5cS (一人公司,诚邀独立开发者合作)

avatar for 自力6XStudio
自力6XStudio
Wed Dec 17 12:02:03
工具的价值不在于功能多,而在于能否真正融入你的工作流。

如果你经常读论文,需要快速制作课件或展示 PPT,或者想给孩子做个性化学习内容。

或只是想更高效地学点新东西,可以试试秘塔。

https://t.co/jvUCFUIVof

下面是详细教程,还有其他技巧细节和提示词

https://t.co/PKW2TfwONn

工具的价值不在于功能多,而在于能否真正融入你的工作流。 如果你经常读论文,需要快速制作课件或展示 PPT,或者想给孩子做个性化学习内容。 或只是想更高效地学点新东西,可以试试秘塔。 https://t.co/jvUCFUIVof 下面是详细教程,还有其他技巧细节和提示词 https://t.co/PKW2TfwONn

喜欢摇滚乐、爱钓鱼的PM 网站:https://t.co/vnUpLt752o

avatar for 向阳乔木
向阳乔木
Wed Dec 17 11:59:27
工具支持自定义PPT生成提示词,比如纽约客漫画风格。

可以用于Nano Banana Pro生图,提示词如下:

---
根据内容生成类似《纽约客》专栏漫画家的配图
 
## 统一视觉风格

* **2K清晰图片**
* **漫画插画质感:** 钢笔墨水速写/手绘线条,简洁留白背景
* **隐喻式表达:** 用视觉语言传达深层含义
* **精致细节:** 松弛的线条艺术,耐看
* **高级配色:** 黑白为主,单色点缀(朱红 #E34234),极简优雅
* **墨水渲染/点缀:** 增强层次感
* **底部标题:** 衬线字体,简洁有力,中文

## 设计哲学

* 用视觉隐喻讲故事
* 简约而不简单,幽默而不肤浅
* 每页都是艺术品,值得细品
* 所有页面保持统一的风格、配色、质感

工具支持自定义PPT生成提示词,比如纽约客漫画风格。 可以用于Nano Banana Pro生图,提示词如下: --- 根据内容生成类似《纽约客》专栏漫画家的配图 ## 统一视觉风格 * **2K清晰图片** * **漫画插画质感:** 钢笔墨水速写/手绘线条,简洁留白背景 * **隐喻式表达:** 用视觉语言传达深层含义 * **精致细节:** 松弛的线条艺术,耐看 * **高级配色:** 黑白为主,单色点缀(朱红 #E34234),极简优雅 * **墨水渲染/点缀:** 增强层次感 * **底部标题:** 衬线字体,简洁有力,中文 ## 设计哲学 * 用视觉隐喻讲故事 * 简约而不简单,幽默而不肤浅 * 每页都是艺术品,值得细品 * 所有页面保持统一的风格、配色、质感

工具的价值不在于功能多,而在于能否真正融入你的工作流。 如果你经常读论文,需要快速制作课件或展示 PPT,或者想给孩子做个性化学习内容。 或只是想更高效地学点新东西,可以试试秘塔。 https://t.co/jvUCFUIVof 下面是详细教程,还有其他技巧细节和提示词 https://t.co/PKW2TfwONn

avatar for 向阳乔木
向阳乔木
Wed Dec 17 11:55:50
This is what Claude (Sonnet) generated a few days ago.

Historically, it's actually pretty "flaky" with Laravel migrations.

Adding this rule to the guidelines:
"When generating migrations, ensure there are no db migrations with the same timestamp prefix."

This is what Claude (Sonnet) generated a few days ago. Historically, it's actually pretty "flaky" with Laravel migrations. Adding this rule to the guidelines: "When generating migrations, ensure there are no db migrations with the same timestamp prefix."

~20 yrs in web-dev, now mostly Laravel. My Laravel courses: https://t.co/HRUAJdMRZL My Youtube channel: https://t.co/qPQAkaov2F

avatar for Povilas Korop | Laravel Courses Creator & Youtuber
Povilas Korop | Laravel Courses Creator & Youtuber
Wed Dec 17 11:53:17
Es decir, que la frecuencia K del orden de 18 a 26,5 GHz "curiosamente" se llama igual que su "variante K de gripe" Pues sabiendo que la radiación electromagnética genera CUADROS GRIPALES ARTIFICIALES, ya tienen ustedes la RESPUESTA (como sabíamos)
#gripe #variantek #mascarillas

Es decir, que la frecuencia K del orden de 18 a 26,5 GHz "curiosamente" se llama igual que su "variante K de gripe" Pues sabiendo que la radiación electromagnética genera CUADROS GRIPALES ARTIFICIALES, ya tienen ustedes la RESPUESTA (como sabíamos) #gripe #variantek #mascarillas

Canal de información alternativa sin censura. Cuenta de Telegram: La Quinta Columna TV.

avatar for La Quinta Columna
La Quinta Columna
Wed Dec 17 11:52:39
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