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Bounding box

A bounding box is an axis-aligned rectangular or hyperrectangular region defined by coordinate limits that encloses or localizes an object, area, or set of points.

How 8 Manning books explain it

Advanced Algorithms and Data Structures

A bounding box is an axis-aligned region that contains a geometric object or curve section.

How it is used
Screens impossible segment and curve intersections and bounds point groups for spatial search.
How deep it goes
Develops containment invariants, insertion choices, intersection screening, and curve subdivision; leaves R-tree split heuristics at a high level.
Examples
Uses overlapping R-tree rectangles, nonintersecting segments with overlapping boxes, and subdivided quadratic Bézier curves.
What you can do after
Apply bounding boxes to reject impossible intersections and understand how spatial trees bound groups of points.

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Inside Deep Learning: Math, Algorithms, Models

A rectangular region defined by coordinates that encloses an object in an image for localization or annotation.

How it is used
Supports object detection by localizing each object before classifying it.
How deep it goes
Defines four-corner tensors and dataset batching, but defers detailed box-prediction algorithms to Faster R-CNN.
Examples
Uses stop signs and randomly positioned MNIST digits as annotation and prediction examples.
What you can do after
Apply it via PyTorch and torchvision to format targets, train Faster R-CNN, inspect predictions, and render rectangles.

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Math and Architectures of Deep Learning

The numeric values that specify the rectangular extent of a detected object within an image.

How it is used
Describes an object’s image location and supplies localization targets for region-based object detectors.
How deep it goes
Defines corner-coordinate representation and connects it to feature-map scaling, regression targets, and detector inference.
Examples
Uses a 256-by-256 RoI mapped to a 16-by-16 feature-map region and examples of multiple localized animals.
What you can do after
Apply via PyTorch-based Fast R-CNN components to represent, regress, and select object-localization coordinates.

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Math for Web Design

A bounding box is a rectangular region described by an element's position and dimensions that encloses the element.

How it is used
Uses element measurements to move or align interface elements in JavaScript.
How deep it goes
Defines rectangle fields and works through center-based tooltip placement without detailing browser layout internals.
Examples
Demonstrates a tooltip centered above a hovered button with an 8px gap.
What you can do after
Apply it via getBoundingClientRect() to calculate displayed positions, sizes, centers, and alignment offsets.

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Deep Learning with Python, Third Edition

A rectangle representation used to localize an object in an image, typically encoded by coordinates and size.

How it is used
Supports object localization, counting, tracking, cropping, detection training, and prompts for segmentation models.
How deep it goes
Explains corner, pixel, normalized, and grid-relative encodings with preprocessing code, but defers detector architecture details.
Examples
Uses a mango box prompt, COCO cat-bench-bicycle annotations, visualization helpers, and YOLO grid targets.
What you can do after
Build it from scratch by parsing, normalizing, visualizing, and converting box annotations into YOLO training targets.

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Just Use Postgres!

A bounding rectangle is a rectangular region that encloses the spatial extent of a geometric object or set of objects.

How it is used
Supports efficient geospatial searches by filtering candidate geometries through indexed spatial extents.
How deep it goes
Defines rectangles and explains hierarchical indexing, but stops short of geometric construction or query syntax.
Examples
Uses points, polygons, line segments, hierarchical GiST regions, and SP-GiST quadrant boxes.
What you can do after
Evaluate how spatial indexes narrow searches by traversing bounding boxes instead of scanning every geometry.

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Designing Deep Learning Systems: A guide for software engineers

A rectangular coordinate representation that localizes an object within an image.

How it is used
Supports object-detection dataset preparation by marking target objects before model training.
How deep it goes
Shows bounding boxes in a labeling workflow but does not specify coordinate formats or geometric implementation.
Examples
Uses a labeling interface where users draw boxes on images before automated training.
What you can do after
Apply it via a labeling application to mark objects and produce training labels.

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Hugging Face in Action

A bounding box is a rectangular region specifying the position of an object within an image or video.

How it is used
Locates and visualizes objects detected in images or video.
How deep it goes
Explains detection outputs, threshold filtering, coordinate scaling, and rectangle drawing without covering detector internals.
Examples
Uses office imagery plus dog-and-cat imagery, with labels, confidence values, coordinate arrays, and annotated rectangles.
What you can do after
Apply it via Hugging Face Transformers and PIL to inspect detections and annotate images with labeled rectangles.

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Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.