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Multi-Scale Continuous CRFs as Sequential Deep Networks for Monocular Depth Estimation (1704.02157v1)

Published 7 Apr 2017 in cs.CV

Abstract: This paper addresses the problem of depth estimation from a single still image. Inspired by recent works on multi- scale convolutional neural networks (CNN), we propose a deep model which fuses complementary information derived from multiple CNN side outputs. Different from previous methods, the integration is obtained by means of continuous Conditional Random Fields (CRFs). In particular, we propose two different variations, one based on a cascade of multiple CRFs, the other on a unified graphical model. By designing a novel CNN implementation of mean-field updates for continuous CRFs, we show that both proposed models can be regarded as sequential deep networks and that training can be performed end-to-end. Through extensive experimental evaluation we demonstrate the effective- ness of the proposed approach and establish new state of the art results on publicly available datasets.

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Authors (5)
  1. Dan Xu (120 papers)
  2. Elisa Ricci (137 papers)
  3. Wanli Ouyang (358 papers)
  4. Xiaogang Wang (230 papers)
  5. Nicu Sebe (270 papers)
Citations (409)

Summary

  • The paper introduces cascade and unified multi-scale CRF models that fuse CNN outputs with continuous CRF inference for refined depth estimation.
  • It reformulates mean-field updates as sequential deep learning tasks to efficiently train end-to-end networks on datasets like NYU Depth V2 and Make3D.
  • The experimental results demonstrate significant accuracy improvements over prior methods, paving the way for advanced continuous prediction in computer vision.

Overview of Multi-Scale Continuous CRFs for Monocular Depth Estimation

The paper "Multi-Scale Continuous CRFs as Sequential Deep Networks for Monocular Depth Estimation" presents a methodological advancement in the domain of monocular depth prediction, leveraging the integration of multi-scale information via continuous Conditional Random Fields (CRFs) within a deep learning framework. The approach combines the robustness of multi-scale Convolutional Neural Network (CNN) outputs with the representational power of graphical models, proposing a distinct inference process that outperforms traditional methods in terms of depth estimation accuracy.

Approach and Methodology

The core innovation in this work hinges on the formulation of depth estimation as a fusion of multi-scale CNN side outputs using continuous CRFs. Two variations are introduced: the cascade of multi-scale CRFs and a unified graphical model of multi-scale CRFs. The cascade model sequentially refines depth estimations from coarser to finer scales, leveraging a structured network of CRFs, while the unified model attempts a simultaneous inference across scales, enforcing smoothness both spatially within each scale and across scales. The use of mean-field updates for continuous CRFs is reformulated as a sequential deep learning task facilitated by CNN structures, enabling efficient end-to-end training of the entire network.

Experimental Evaluation and Results

The paper demonstrates the efficacy of the proposed models through comprehensive experiments on the NYU Depth V2 and Make3D datasets. These models, when paired with varying CNN architectures such as VGG16, ResNet50, and VGG Convolution-Deconvolution, consistently show advancements over pre-existing strategies. Crucially, the multi-scale CRF models significantly improve performance metrics over both classical CRF models and deep learning approaches without graphical model integration. Notably, the paper highlights that their proposed models achieve state-of-the-art results in depth estimation, especially when compared to methods like those in Eigen et al. and Laina et al., using considerably fewer training samples.

Implications and Speculation

This research contributes to theoretical and practical advancements in monocular depth estimation by demonstrating that the integration of CRFs with deep networks can be pushed beyond tasks involving discrete variables into continuous domain tasks. This potentially paves the way for further investigation into other continuous pixel-level prediction tasks, such as image restoration and super-resolution. The paper's success suggests that future AI developments will benefit from more profound incorporations of structured prediction methods with deep learning, particularly within tasks requiring fine-grained spatial accuracy.

In conclusion, the proposed multi-scale continuous CRFs framework serves as a significant step towards more accurate and versatile depth estimation models. By leveraging the fusion of multi-scale CNN representations through a CRF lens, this work not only enhances the state of the art in depth prediction but also stimulates further exploration in the combinatorial use of graphical models within deep learning contexts. The methods and insights presented here could readily extend to various applied domains within computer vision, providing robust tools for enhancing visual data interpretation from single images.