Table of Links Abstract and 1 Introduction 2. Related Work 3. Method and 3.1. Architecture 3.2. Loss and 3.3. Implementation Details 4. Data Curation 4.1. Training Dataset 4.2. Evaluation Benchmark 5. Experiments and 5.1. Metrics 5.2. Baselines 5.3. Comparison to SOTA Methods 5.4. Qualitative Results and 5.5. Ablation Study 6. Limitations and Discussion 7. Conclusion and References A. Additional Qualitative Comparison B. Inference on AI-generated Images C. Data Curation Details 5. Experiments In this section we present our experiments, which include state-of-the-art comparisons and ablations. We first describe the baselines we implemented on our benchmark, and then show detailed quantitative and qualitative results. 5.1. Metrics We evaluate the shape reconstruction models using Chamfer Distance (CD) and F-score as our quantitative metrics following [15, 19, 20, 28, 55, 56]. Chamfer Distance. Chamfer Distance (CD) measures the alignment between two pointclouds. Following [20], CD is defined as an average of accuracy and completeness. Denoting pointclouds as X and Y , CD is defined as: F-score. F-score measures the pointcloud alignment under a classification framing. By selecting a rejection threshold d, F-score@d (FS@d) is the harmonic mean of precision@d and recall@d. Specifically, precision@d is the percentage of predicted points that lies close to GT point cloud within distance d. Similarly, recall@d is the percentage of ground truth points that have neighboring predicted points within distance d. FS@d can be intuitively interpreted as the percentage of surface that is correctly reconstructed under a certain threshold d that defines correctness. Evaluation protocol. To compute CD and F-score, we grid-sample the implicit function and extract the isosurface via Marching Cubes [32] for methods using implicit representation. Then we sample 10K points from the surfaces for the evaluation of CD and F-scores. Because most methods cannot predict view-centric shapes, we use bruteforce search to align the coordinate frame of prediction with ground truth before calculating the metrics. This evaluation protocol ensures a fair comparison between methods with different shape representation and coordinate conventions. This paper is available on arxiv under CC BY 4.0 DEED license. Authors:
(1) Zixuan Huang, University of Illinois at Urbana-Champaign and both authors contributed equally to this work;
(2) Stefan Stojanov, Georgia Institute of Technology and both authors contributed equally to this work;
(3) Anh Thai, Georgia Institute of Technology;
(4) Varun Jampani, Stability AI;
(5) James M. Rehg, University of Illinois at Urbana-Champaign. Table of Links Abstract and 1 Introduction Abstract and 1 Introduction 2. Related Work 2. Related Work 3. Method and 3.1. Architecture 3. Method and 3.1. Architecture 3.2. Loss and 3.3. Implementation Details 3.2. Loss and 3.3. Implementation Details 4. Data Curation 4.1. Training Dataset 4.1. Training Dataset 4.2. Evaluation Benchmark 4.2. Evaluation Benchmark 5. Experiments and 5.1. Metrics 5. Experiments and 5.1. Metrics 5.2. Baselines 5.2. Baselines 5.3. Comparison to SOTA Methods 5.3. Comparison to SOTA Methods 5.4. Qualitative Results and 5.5. Ablation Study 5.4. Qualitative Results and 5.5. Ablation Study 6. Limitations and Discussion 6. Limitations and Discussion 7. Conclusion and References 7. Conclusion and References A. Additional Qualitative Comparison A. Additional Qualitative Comparison B. Inference on AI-generated Images B. Inference on AI-generated Images C. Data Curation Details C. Data Curation Details 5. Experiments In this section we present our experiments, which include state-of-the-art comparisons and ablations. We first describe the baselines we implemented on our benchmark, and then show detailed quantitative and qualitative results. 5.1. Metrics We evaluate the shape reconstruction models using Chamfer Distance (CD) and F-score as our quantitative metrics following [15, 19, 20, 28, 55, 56]. Chamfer Distance. Chamfer Distance (CD) measures the alignment between two pointclouds. Following [20], CD is defined as an average of accuracy and completeness. Denoting pointclouds as X and Y , CD is defined as: Chamfer Distance. F-score. F-score measures the pointcloud alignment under a classification framing. By selecting a rejection threshold d, F-score@d (FS@d) is the harmonic mean of precision@d and recall@d. Specifically, precision@d is the percentage of predicted points that lies close to GT point cloud within distance d. Similarly, recall@d is the percentage of ground truth points that have neighboring predicted points within distance d. FS@d can be intuitively interpreted as the percentage of surface that is correctly reconstructed under a certain threshold d that defines correctness. F-score. Evaluation protocol. To compute CD and F-score, we grid-sample the implicit function and extract the isosurface via Marching Cubes [32] for methods using implicit representation. Then we sample 10K points from the surfaces for the evaluation of CD and F-scores. Because most methods cannot predict view-centric shapes, we use bruteforce search to align the coordinate frame of prediction with Evaluation protocol. ground truth before calculating the metrics. This evaluation protocol ensures a fair comparison between methods with different shape representation and coordinate conventions. This paper is available on arxiv under CC BY 4.0 DEED license. This paper is available on arxiv under CC BY 4.0 DEED license. available on arxiv Authors: (1) Zixuan Huang, University of Illinois at Urbana-Champaign and both authors contributed equally to this work; (2) Stefan Stojanov, Georgia Institute of Technology and both authors contributed equally to this work; (3) Anh Thai, Georgia Institute of Technology; (4) Varun Jampani, Stability AI; (5) James M. Rehg, University of Illinois at Urbana-Champaign. Authors: Authors: (1) Zixuan Huang, University of Illinois at Urbana-Champaign and both authors contributed equally to this work; (2) Stefan Stojanov, Georgia Institute of Technology and both authors contributed equally to this work; (3) Anh Thai, Georgia Institute of Technology; (4) Varun Jampani, Stability AI; (5) James M. Rehg, University of Illinois at Urbana-Champaign.

Part of HackerNoon's growing list of open-source research papers, promoting free access to academic material.

ZeroShape: The Metrics and Evaluation Protocol That We Used

About Author

Comments

TOPICS

THIS ARTICLE WAS FEATURED IN

Related Stories

Untitled Story

What Happens When Your Prompt Is Too Obscure?

ZeroShape: Presenting Our Architecture for Shape Reconstruction

Zero Shape: The Qualitative Results of Different Methods and Our Ablation Study

ZeroShape: The Limitations We Are Facing

The Noonification: Use This 7-Step McKinsey Framework to Solve Any Problem (1/10/2023)

What Happens When Your Prompt Is Too Obscure?

ZeroShape: Presenting Our Architecture for Shape Reconstruction

Zero Shape: The Qualitative Results of Different Methods and Our Ablation Study

ZeroShape: The Limitations We Are Facing

The Noonification: Use This 7-Step McKinsey Framework to Solve Any Problem (1/10/2023)

Light-Mode

Classic

Newspaper

Dark-Mode

Neon Noir

Minty

HN StartUps