🚀3D Arrays: Structure, Memory Representation, and Applications 🚀 || jitvns
What is a 3D Array?
A 3D array is an extension of a 2D array, where each element is a 2D matrix. It stores data in three dimensions:
📌 Structure: A[L][M][N]
🔹 L → Number of planes (depth) 📦
🔹 M → Number of rows 📏
🔹 N → Number of columns 📊
📌 Accessing Elements: A[i][j][k]
i → Plane index 🌍
j → Row index 📏
k → Column index 📊
🖥️ Memory Representation
Stored in row-major or column-major order:
🔹 Row-Major Order: 📥 Rows first, then columns, then depth
Address
(
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=
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+
(
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)
+
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]
×
size
Address(A[i][j][k])=BA+[(i×M×N)+(j×N)+k]×size
🔹 Column-Major Order: 📥 Columns first, then rows, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
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size
Address(A[i][j][k])=BA+[(k×L×M)+(j×L)+i]×size
🔥 Applications of 3D Arrays
✅ Graphics & Image Processing 🎨 (RGB colors)
✅ Game Development 🎮 (3D environments)
✅ Machine Learning 🤖 (Tensor data storage)
✅ Scientific Computation 🧪 (Multidimensional data)
🚀 Understanding 3D arrays is key for Data Structures & GATE CS! 🔥📌 What is a 3D Array?
A 3D array is an extension of a 2D array, where each element is a 2D matrix. It stores data in three dimensions:
📌 Structure: A[L][M][N]
🔹 L → Number of planes (depth) 📦
🔹 M → Number of rows 📏
🔹 N → Number of columns 📊
📌 Accessing Elements: A[i][j][k]
i → Plane index 🌍
j → Row index 📏
k → Column index 📊
🖥️ Memory Representation
Stored in row-major or column-major order:
🔹 Row-Major Order: 📥 Rows first, then columns, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑖
×
𝑀
×
𝑁
)
+
(
𝑗
×
𝑁
)
+
𝑘
]
×
size
Address(A[i][j][k])=BA+[(i×M×N)+(j×N)+k]×size
🔹 Column-Major Order: 📥 Columns first, then rows, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑘
×
𝐿
×
𝑀
)
+
(
𝑗
×
𝐿
)
+
𝑖
]
×
size
Address(A[i][j][k])=BA+[(k×L×M)+(j×L)+i]×size
🔥 Applications of 3D Arrays
✅ Graphics & Image Processing 🎨 (RGB colors)
✅ Game Development 🎮 (3D environments)
✅ Machine Learning 🤖 (Tensor data storage)
✅ Scientific Computation 🧪 (Multidimensional data)
Applications of 3D Arrays:
✅ Graphics & Image Processing (storing RGB color values)
✅ Game Development (handling 3D environments
🚀 Understanding 3D arrays is key for Data Structures & GATE CS! 🔥
Видео 🚀3D Arrays: Structure, Memory Representation, and Applications 🚀 || jitvns канала JITVNS - Tech & Learning
A 3D array is an extension of a 2D array, where each element is a 2D matrix. It stores data in three dimensions:
📌 Structure: A[L][M][N]
🔹 L → Number of planes (depth) 📦
🔹 M → Number of rows 📏
🔹 N → Number of columns 📊
📌 Accessing Elements: A[i][j][k]
i → Plane index 🌍
j → Row index 📏
k → Column index 📊
🖥️ Memory Representation
Stored in row-major or column-major order:
🔹 Row-Major Order: 📥 Rows first, then columns, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑖
×
𝑀
×
𝑁
)
+
(
𝑗
×
𝑁
)
+
𝑘
]
×
size
Address(A[i][j][k])=BA+[(i×M×N)+(j×N)+k]×size
🔹 Column-Major Order: 📥 Columns first, then rows, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑘
×
𝐿
×
𝑀
)
+
(
𝑗
×
𝐿
)
+
𝑖
]
×
size
Address(A[i][j][k])=BA+[(k×L×M)+(j×L)+i]×size
🔥 Applications of 3D Arrays
✅ Graphics & Image Processing 🎨 (RGB colors)
✅ Game Development 🎮 (3D environments)
✅ Machine Learning 🤖 (Tensor data storage)
✅ Scientific Computation 🧪 (Multidimensional data)
🚀 Understanding 3D arrays is key for Data Structures & GATE CS! 🔥📌 What is a 3D Array?
A 3D array is an extension of a 2D array, where each element is a 2D matrix. It stores data in three dimensions:
📌 Structure: A[L][M][N]
🔹 L → Number of planes (depth) 📦
🔹 M → Number of rows 📏
🔹 N → Number of columns 📊
📌 Accessing Elements: A[i][j][k]
i → Plane index 🌍
j → Row index 📏
k → Column index 📊
🖥️ Memory Representation
Stored in row-major or column-major order:
🔹 Row-Major Order: 📥 Rows first, then columns, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑖
×
𝑀
×
𝑁
)
+
(
𝑗
×
𝑁
)
+
𝑘
]
×
size
Address(A[i][j][k])=BA+[(i×M×N)+(j×N)+k]×size
🔹 Column-Major Order: 📥 Columns first, then rows, then depth
Address
(
𝐴
[
𝑖
]
[
𝑗
]
[
𝑘
]
)
=
𝐵
𝐴
+
[
(
𝑘
×
𝐿
×
𝑀
)
+
(
𝑗
×
𝐿
)
+
𝑖
]
×
size
Address(A[i][j][k])=BA+[(k×L×M)+(j×L)+i]×size
🔥 Applications of 3D Arrays
✅ Graphics & Image Processing 🎨 (RGB colors)
✅ Game Development 🎮 (3D environments)
✅ Machine Learning 🤖 (Tensor data storage)
✅ Scientific Computation 🧪 (Multidimensional data)
Applications of 3D Arrays:
✅ Graphics & Image Processing (storing RGB color values)
✅ Game Development (handling 3D environments
🚀 Understanding 3D arrays is key for Data Structures & GATE CS! 🔥
Видео 🚀3D Arrays: Structure, Memory Representation, and Applications 🚀 || jitvns канала JITVNS - Tech & Learning
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15 февраля 2025 г. 0:22:50
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