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Related Concept Videos

Implicit Differentiation01:25

Implicit Differentiation

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In classical mechanics, motion is often described through relationships between spatial coordinates and time. A car moving along a straight highway with constant acceleration serves as a simple case where velocity is an explicit function of time. This scenario results in a linear equation, enabling straightforward analysis using basic differentiation techniques.In contrast, a satellite in circular orbit follows a path defined by an implicit function. The position of the satellite is constrained...
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Implicit memories, also known as non-declarative memories, are long-term memories that function outside of conscious awareness. These memories influence behavior and skills without explicit knowledge. This type of memory is evident in tasks like playing tennis, snowboarding, and texting. Implicit memory has three subsystems: procedural memory, conditioning, and priming. This type of memory is essential in various activities, from everyday tasks to specialized skills.
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Curves defined implicitly, where variables cannot be separated algebraically, require specialized techniques for analysis. The conchoid of Nicomedes exemplifies such a case. Its equation links x and y in a way that prevents isolation of one variable, making implicit differentiation essential to determine the slope and behavior at any point on the curve.The implicit form of the conchoid can be expressed as:To differentiate this equation, y is treated as a function of x, and the chain rule is...
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Second Derivatives of Implicit Functions01:29

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Elliptical arches are fundamental in architectural and structural engineering, offering aesthetic appeal and structural efficiency. The shape of an elliptical arch follows a constrained geometric relationship where the height and horizontal position are implicitly related. This means that the height y cannot be explicitly expressed as a function of the horizontal position x, necessitating implicit differentiation for slope and curvature analysis.The equation of an ellipse centered at the origin...
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Implicit Personality Theories01:23

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Implicit personality theory explains how individuals make assumptions about the relationships between personality traits, behaviors, and character types. When people learn that someone possesses a particular trait, they tend to infer the presence of other related characteristics, forming a cohesive impression. This cognitive shortcut plays a crucial role in social interactions and interpersonal judgments.Central Traits and Their InfluenceSolomon Asch's seminal 1946 study highlighted the power...
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Digestion begins with a cephalic phase that prepares the digestive system to receive food. When our brain processes visual or olfactory information about food, it triggers impulses in the cranial nerves innervating the salivary glands and stomach to prepare for food.
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Surface Electromyographic Biofeedback as a Rehabilitation Tool for Patients with Global Brachial Plexus Injury Receiving Bionic Reconstruction
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Sonar-neus:voxel-based efficient neural implicit surface reconstruction for forward-looking sonar.

Shiji Qiu1, Zuoqi Hu1, Tiange Zhang1

  • 1Ocean University Of China, Qingdao, 266100, Shandong, China.

Neural Networks : the Official Journal of the International Neural Network Society
|February 1, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a faster method for 3D ocean mapping using forward-looking sonar (FLS). The new voxel-based approach significantly speeds up dense 3D reconstruction, making ocean exploration more efficient.

Keywords:
3D ReconstructionForward-looking sonarNeural implicit surfacesUnderwater objects

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Area of Science:

  • Robotics and Autonomous Systems
  • Oceanography and Marine Technology
  • Computer Vision and Graphics

Background:

  • Dense 3D reconstruction with forward-looking sonar (FLS) is crucial for ocean exploration.
  • Current neural radiance field methods are too slow for real-world FLS 3D reconstruction.
  • Existing methods suffer from slow training (hours) and inefficient sampling strategies.

Purpose of the Study:

  • To develop a significantly faster and more efficient dense 3D reconstruction method for FLS data.
  • To overcome the limitations of slow training and inefficient sampling in current neural radiance field approaches.
  • To improve the quality and speed of 3D reconstruction for underwater environments.

Main Methods:

  • Proposed a voxel-based neural implicit surface reconstruction approach for FLS.
  • Replaced MLPs with geometry (SDF voxel grid) and appearance (feature voxel grid) representations.
  • Introduced hierarchical sampling along the elevation arc and SDF Gaussian convolution for noise reduction.

Main Results:

  • Achieved dense 3D reconstruction quality comparable to state-of-the-art methods.
  • Reduced training time from 4 hours to just 10 minutes.
  • Demonstrated superior performance over existing unsupervised dense FLS reconstruction techniques.

Conclusions:

  • The proposed voxel-based method offers a substantial speed improvement for FLS 3D reconstruction.
  • This advancement significantly enhances the feasibility of dense 3D reconstruction for real-world ocean exploration.
  • The approach provides a more efficient and higher-quality solution for underwater mapping.