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Create: 2024-12-21 Update: 2025-07-07 19:32:37

📌Как линейная алгебра может помочь при разработке web-приложения.

Интересная и познавательная статья разработчика Ивана Шубина о том, как он использовал матрицы для создания интерактивного редактора диаграмм Schemio.

Изначально, редактор позволял создавать простые фигуры и манипулировать ими, но с введением иерархии объектов возникла необходимость в сложных преобразованиях координат. Матрицы стали ключом к решению этой проблемы, позволяя эффективно управлять перемещением, вращением и масштабированием объектов.

Для преобразования глобальных и локальных координат между собой использовались матричные преобразования. Умножение матриц дало возможность комбинировать преобразования, а инверсия матрицы помогает переводить координаты из глобальных в локальные.

Иван подробно описывает, как матрицы помогают управлять поворотом и масштабированием объектов относительно опорной точки и как они используются при монтировании и демонтировании объектов, чтобы избежать нежелательных коллизий.

Таким образом, матричная математика стала решением для расширения возможностей редакторе Schemio.

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📌Как линейная алгебра может помочь при разработке web-приложения.

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