How Long to Read Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds

By Jian Liang

How Long Does it Take to Read Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds?

It takes the average reader 2 hours and 23 minutes to read Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds by Jian Liang

Assuming a reading speed of 250 words per minute. Learn more

Description

Point cloud is defined simply as a set of unstructured points with no specific ordering and connection. Point cloud is the most basic and intrinsic way for sampling and representation of geometric objects or information in high dimensions. There are several basic problems associated to point clouds including the likes of segmentation, visualization, surface reconstruction and geometric understanding. Point cloud processing is becoming more and more popular, and has many applications in computer vision, data science, manifold learning, etc. In this dissertation, several basic point cloud processing problems will be studied. First, we develop a constrained nonlinear least squares approach for point cloud normal estimate, and we extend this strategy to point cloud denoising and segmentation. Second, we propose novel ways to utilize convexified image segmentation models and fast computational algorithms to achieve implicit surface reconstruction directly from point cloud. Third, we develop a general framework for solving partial differential equations on manifold represented by point cloud, without parametrization or connection information, only based on a local approximation of manifold. Finally, we use the framework for geometric understanding on point clouds, including computation of Laplace-Beltrami eigenvalues and eigenfunctions, extraction of skeletons and extraction of conformal structures. Various examples in each chapter show that our approaches are accurate, robust and efficient.

How long is Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds?

Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds by Jian Liang is 142 pages long, and a total of 35,784 words.

This makes it 48% the length of the average book. It also has 44% more words than the average book.

How Long Does it Take to Read Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 15 minutes to read Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds aloud.

What Reading Level is Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds?

Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Solving Partial Differential Equations on Point Clouds and Geometric Understanding of Point Clouds?

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